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{'Nk2': 13248, 'analytic_conductor': 26.446453149448065, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [23, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3312, 1, [415, 2485, 2945, 2305], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 44688, 'field_disc_factorization': [[2, 4], [3, 1], [7, 2], [19, 1]], 'field_poly': [2, 6, -5, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-6, -2, 1]], [7, [72, -48, -26, 2, 1]], [11, [-48, -72, -22, 2, 1]], [13, [32, 48, -20, -4, 1]]], 'hecke_orbit': 34, 'hecke_orbit_code': 148618787736784112, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3312.2.a.bh', 'level': 3312, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'minimal_twist': '1656.2.a.o', 'nf_label': '4.4.44688.2', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta _{2})q^{5}+(-1-\\beta _{1}+\\beta _{2})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3312.2.a', 'trace_display': [0, 0, 4, -2], 'trace_hash': 756556063571677276, 'trace_moments': 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mf_hecke_nf • Show schema
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-12, -4], [0, 10, -16, 2], [15, 21, -8, 5], [-39, 5, 4, -11], [-40, 10, 6, -10], [12, -14, -4, 28], [12, -4, 24, -6], [31, 5, 9, 12], [-20, -12, -3, -5], [22, 5, 17, -17], [-49, 1, 2, -1], [22, 0, -8, 4], [-9, -11, 20, -3], [-21, -1, -7, 8], [-18, 14, 7, -25], [-15, -13, -6, 13], [37, 9, -6, -11], [39, -2, -12, 13], [55, 5, -12, -3], [-40, -5, -9, -1], [-11, 3, -4, -7], [-36, 2, -10, -6], [-43, -1, -2, 5], [-25, -14, 12, -5], [0, 11, 11, -5], [-26, -4, -4, 0], [11, 3, -8, 1], [2, 8, -14, 14], [-43, -7, 16, 7], [2, 10, 13, -3], [34, -8, 0, 10], [-45, 0, -11, -6], [-35, -4, 4, -1], [36, 4, 8, 12], [-15, -15, 12, 21], [36, 2, 12, -6], [9, 13, -2, 9], [39, 4, 8, 3], [16, 0, -4, 4], [12, 10, -18, 10], [-48, 10, 10, -12]], 'char_orbit_index': 1, 'field_poly': [2, 6, -5, -2, 1], 'hecke_orbit_code': 148618787736784112, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [1, 1, 0, -1], [7, 1, 2, -1], [11, 7, 2, -5]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, -4, -1, 1], [-3, -1, 1, 0], [1, -6, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '3312.2.a.bh', 'level': 3312, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 6, 8, 8, 5, 5, 7, 10], 'Nk2': 13248, 'analytic_conductor': 26.446453149448065, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3312, 1, [415, 2485, 2945, 2305], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 553, 'dim': 55, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13], 'hecke_orbit_code': 33557744, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '3312.2.a', 'level': 3312, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'mf_dim': 600, 'mf_new_dim': 55, 'num_forms': 34, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 55, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [0, 0, -2, -4], 'traces': [55, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, -4, 0, 0, 0, 3, 0, 65, 0, 0, 0, -2, 0, 2, 0, 0, 0, -24, 0, -2, 0, 0, 0, -2, 0, 24, 0, 0, 0, -2, 0, 55, 0, 0, 0, -10, 0, 8, 0, 0, 0, -28, 0, -10, 0, 0, 0, 12, 0, -16, 0, 0, 0, -26, 0, -2, 0, 0, 0, -8, 0, -28, 0, 0, 0, 20, 0, -4, 0, 0, 0, 14, 0, -12, 0, 0, 0, -32, 0, -26, 0, 0, 0, -30, 0, 36, 0, 0, 0, 28, 0, -10, 0, 0, 0, 30, 0, 6, 0, 0, 0, 16, 0, 35, 0, 0, 0, 36, 0, -26, 0, 0, 0, -18, 0, 16, 0, 0, 0, -18, 0, -18, 0, 0, 0, 16, 0, 12, 0, 0, 0, 14, 0, -6, 0, 0, 0, 32, 0, -34, 0, 0, 0, 0, 0, -42, 0, 0, 0, -48, 0, 49, 0, 0, 0, 34, 0, -4, 0, 0, 0, -30, 0, -42, 0, 0, 0, 28, 0, -16, 0, 0, 0, 24, 0, -34, 0, 0, 0, -34, 0, -8, 0, 0, 0, 68, 0, -28, 0, 0, 0, 8, 0, -28, 0, 0, 0, 16, 0, -48, 0, 0, 0, -4, 0, -72, 0, 0, 0, -12, 0, 30, 0, 0, 0, 6, 0, 16, 0, 0, 0, 70, 0, -58, 0, 0, 0, 70, 0, 100, 0, 0, 0, 36, 0, 0, 0, 0, 0, 54, 0, 96, 0, 0, 0, 100, 0, -4, 0, 0, 0, -18, 0, -40, 0, 0, 0, 40, 0, -42, 0, 0, 0, 30, 0, 8, 0, 0, 0, -60, 0, 69, 0, 0, 0, -50, 0, 72, 0, 0, 0, -24, 0, 32, 0, 0, 0, 4, 0, 52, 0, 0, 0, 150, 0, 6, 0, 0, 0, -14, 0, 88, 0, 0, 0, -48, 0, -54, 0, 0, 0, 32, 0, 134, 0, 0, 0, 16, 0, 14, 0, 0, 0, 16, 0, 64, 0, 0, 0, 60, 0, -66, 0, 0, 0, -42, 0, 40, 0, 0, 0, 44, 0, 19, 0, 0, 0, -92, 0, -36, 0, 0, 0, 48, 0, -74, 0, 0, 0, -36, 0, -32, 0, 0, 0, -32, 0, -88, 0, 0, 0, 6, 0, -14, 0, 0, 0, 24, 0, -18, 0, 0, 0, -10, 0, 114, 0, 0, 0, -24, 0, -50, 0, 0, 0, 16, 0, -8, 0, 0, 0, 0, 0, 14, 0, 0, 0, 18, 0, -72, 0, 0, 0, -88, 0, -10, 0, 0, 0, 0, 0, 6, 0, 0, 0, 14, 0, 20, 0, 0, 0, 6, 0, -8, 0, 0, 0, 0, 0, -18, 0, 0, 0, -106, 0, 40, 0, 0, 0, -60, 0, -24, 0, 0, 0, 8, 0, -140, 0, 0, 0, -84, 0, 20, 0, 0, 0, -44, 0, -18, 0, 0, 0, -22, 0, -52, 0, 0, 0, -40, 0, 98, 0, 0, 0, -52, 0, -12, 0, 0, 0, -26, 0, 84, 0, 0, 0, -88, 0, -64, 0, 0, 0, 22, 0, -76, 0, 0, 0, -140, 0, 55, 0, 0, 0, 16, 0, 184, 0, 0, 0, -136, 0, 22, 0, 0, 0, 36, 0, 38, 0, 0, 0, -84, 0, -64, 0, 0, 0, -50, 0, -144, 0, 0, 0, 152, 0, 28, 0, 0, 0, -82, 0, -36, 0, 0, 0, 21, 0, 46, 0, 0, 0, -8, 0, -40, 0, 0, 0, -130, 0, 96, 0, 0, 0, -50, 0, 104, 0, 0, 0, 120, 0, 54, 0, 0, 0, -2, 0, -104, 0, 0, 0, -82, 0, 46, 0, 0, 0, 46, 0, -168, 0, 0, 0, -88, 0, 3, 0, 0, 0, 84, 0, 72, 0, 0, 0, -112, 0, -58, 0, 0, 0, -114, 0, -200, 0, 0, 0, -106, 0, -48, 0, 0, 0, 54, 0, 104, 0, 0, 0, 132, 0, 78, 0, 0, 0, 64, 0, 12, 0, 0, 0, -56, 0, -122, 0, 0, 0, -82, 0, -232, 0, 0, 0, -22, 0, 36, 0, 0, 0, 44, 0, 140, 0, 0, 0, -56, 0, -20, 0, 0, 0, -82, 0, -280, 0, 0, 0, 8, 0, 6, 0, 0, 0, -8, 0, 48, 0, 0, 0, -88, 0, 120, 0, 0, 0, -22, 0, 128, 0, 0, 0, -56, 0, 86, 0, 0, 0, -144, 0, -58, 0, 0, 0, 188, 0, -4, 0, 0, 0, 64, 0, -104, 0, 0, 0, 56, 0, -34, 0, 0, 0, -66, 0, -176, 0, 0, 0, -56, 0, -34, 0, 0, 0, 70, 0, 38, 0, 0, 0, 12, 0, -8, 0, 0, 0, 4, 0, 120, 0, 0, 0, 176, 0, -44, 0, 0, 0, 38, 0, -84, 0, 0, 0, 80, 0, 16, 0, 0, 0, -34, 0, -54, 0, 0, 0, 224, 0, -104, 0, 0, 0, -78, 0, -70, 0, 0, 0, 160, 0, 122, 0, 0, 0, -2, 0, -64, 0, 0, 0, -204, 0, 105, 0, 0, 0, 138, 0, 84, 0, 0, 0, -30, 0, 82, 0, 0, 0, -10, 0, -126, 0, 0, 0, 266, 0, 180, 0, 0, 0, -16, 0, -72, 0, 0, 0, -256, 0, 34, 0, 0, 0, 102, 0, -36, 0, 0, 0, 166, 0, 64, 0, 0, 0, 16, 0, -120, 0, 0, 0, -46, 0, 84, 0, 0, 0, 44, 0, 84, 0, 0, 0, 68, 0, -16, 0, 0, 0, 56, 0, -36, 0, 0, 0, 150, 0, -118, 0, 0, 0, 94, 0, 60, 0, 0, 0, -232, 0, -82, 0, 0, 0, -34, 0, -16, 0, 0, 0, 22, 0, 40, 0, 0, 0, -106, 0, -32, 0, 0, 0, 8, 0, 103, 0, 0, 0, -20, 0, -90, 0, 0, 0, 12, 0, -72, 0, 0, 0, -82, 0, -96, 0, 0, 0, 132, 0, -4, 0, 0, 0, 0, 0, 120, 0, 0, 0, 312, 0, 10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1080205
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '3312.2.a.bh', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '1656.2.a.o', 'target_level': 1656, 'twist_class_label': '1656.2.a.o', 'twist_class_level': 1656, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1080206
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '3312.2.a.bh', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '1656.2.a.p', 'target_level': 1656, 'twist_class_label': '1656.2.a.o', 'twist_class_level': 1656, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1080207
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '3312.2.a.bh', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '3312.2.a.bg', 'target_level': 3312, 'twist_class_label': '1656.2.a.o', 'twist_class_level': 1656, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1080208
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '3312.2.a.bh', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '3312.2.a.bh', 'target_level': 3312, 'twist_class_label': '1656.2.a.o', 'twist_class_level': 1656, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3116250
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 148618787736784112, 'p': 2}
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id: 3116251
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 148618787736784112, 'p': 3}
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id: 3116252
{'charpoly_factorization': [[[-6, -2, 1], 2]], 'hecke_orbit_code': 148618787736784112, 'p': 5}
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id: 3116253
{'charpoly_factorization': [[[72, -48, -26, 2, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 7}
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id: 3116254
{'charpoly_factorization': [[[-48, -72, -22, 2, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 11}
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id: 3116255
{'charpoly_factorization': [[[32, 48, -20, -4, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 13}
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id: 3116256
{'charpoly_factorization': [[[-48, 72, -22, -2, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 17}
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id: 3116257
{'charpoly_factorization': [[[-444, -240, -16, 8, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 19}
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id: 3116258
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 148618787736784112, 'p': 23}
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id: 3116259
{'charpoly_factorization': [[[-96, 48, 28, -12, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 29}
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id: 3116260
{'charpoly_factorization': [[[-96, -48, 28, 12, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 31}
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id: 3116261
{'charpoly_factorization': [[[-1592, 616, -10, -14, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 37}
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id: 3116262
{'charpoly_factorization': [[[-192, 384, -76, -4, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 41}
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id: 3116263
{'charpoly_factorization': [[[4468, -296, -144, 4, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 43}
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id: 3116264
{'charpoly_factorization': [[[16, 720, -56, -12, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 47}
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id: 3116265
{'charpoly_factorization': [[[1684, 352, -72, -8, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 53}
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id: 3116266
{'charpoly_factorization': [[[-4864, 1920, -92, -16, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 59}
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id: 3116267
{'charpoly_factorization': [[[8, 8, -10, -6, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 61}
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id: 3116268
{'charpoly_factorization': [[[1124, -912, -128, 8, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 67}
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id: 3116269
{'charpoly_factorization': [[[128, 160, -28, -12, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 71}
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id: 3116270
{'charpoly_factorization': [[[-96, 1392, -68, -16, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 73}
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id: 3116271
{'charpoly_factorization': [[[648, -288, -34, 10, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 79}
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id: 3116272
{'charpoly_factorization': [[[16, -56, 50, -14, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 83}
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id: 3116273
{'charpoly_factorization': [[[3136, 784, -126, -14, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 89}
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id: 3116274
{'charpoly_factorization': [[[1488, 48, -104, -4, 1], 1]], 'hecke_orbit_code': 148618787736784112, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 34, 'label': '3312.2.a.bh', 'level': 3312, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69262399
{'hecke_orbit_code': 148618787736784112, 'n': 1, 'trace_an': 4}
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id: 69262400
{'hecke_orbit_code': 148618787736784112, 'n': 2, 'trace_an': 0}
-
id: 69262401
{'hecke_orbit_code': 148618787736784112, 'n': 3, 'trace_an': 0}
-
id: 69262402
{'hecke_orbit_code': 148618787736784112, 'n': 4, 'trace_an': 0}
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id: 69262403
{'hecke_orbit_code': 148618787736784112, 'n': 5, 'trace_an': 4}
-
id: 69262404
{'hecke_orbit_code': 148618787736784112, 'n': 6, 'trace_an': 0}
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id: 69262405
{'hecke_orbit_code': 148618787736784112, 'n': 7, 'trace_an': -2}
-
id: 69262406
{'hecke_orbit_code': 148618787736784112, 'n': 8, 'trace_an': 0}
-
id: 69262407
{'hecke_orbit_code': 148618787736784112, 'n': 9, 'trace_an': 0}
-
id: 69262408
{'hecke_orbit_code': 148618787736784112, 'n': 10, 'trace_an': 0}
-
id: 69262409
{'hecke_orbit_code': 148618787736784112, 'n': 11, 'trace_an': -2}
-
id: 69262410
{'hecke_orbit_code': 148618787736784112, 'n': 12, 'trace_an': 0}
-
id: 69262411
{'hecke_orbit_code': 148618787736784112, 'n': 13, 'trace_an': 4}
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id: 69262412
{'hecke_orbit_code': 148618787736784112, 'n': 14, 'trace_an': 0}
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id: 69262413
{'hecke_orbit_code': 148618787736784112, 'n': 15, 'trace_an': 0}
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id: 69262414
{'hecke_orbit_code': 148618787736784112, 'n': 16, 'trace_an': 0}
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id: 69262415
{'hecke_orbit_code': 148618787736784112, 'n': 17, 'trace_an': 2}
-
id: 69262416
{'hecke_orbit_code': 148618787736784112, 'n': 18, 'trace_an': 0}
-
id: 69262417
{'hecke_orbit_code': 148618787736784112, 'n': 19, 'trace_an': -8}
-
id: 69262418
{'hecke_orbit_code': 148618787736784112, 'n': 20, 'trace_an': 0}
-
id: 69262419
{'hecke_orbit_code': 148618787736784112, 'n': 21, 'trace_an': 0}
-
id: 69262420
{'hecke_orbit_code': 148618787736784112, 'n': 22, 'trace_an': 0}
-
id: 69262421
{'hecke_orbit_code': 148618787736784112, 'n': 23, 'trace_an': 4}
-
id: 69262422
{'hecke_orbit_code': 148618787736784112, 'n': 24, 'trace_an': 0}
-
id: 69262423
{'hecke_orbit_code': 148618787736784112, 'n': 25, 'trace_an': 12}
-
id: 69262424
{'hecke_orbit_code': 148618787736784112, 'n': 26, 'trace_an': 0}
-
id: 69262425
{'hecke_orbit_code': 148618787736784112, 'n': 27, 'trace_an': 0}
-
id: 69262426
{'hecke_orbit_code': 148618787736784112, 'n': 28, 'trace_an': 0}
-
id: 69262427
{'hecke_orbit_code': 148618787736784112, 'n': 29, 'trace_an': 12}
-
id: 69262428
{'hecke_orbit_code': 148618787736784112, 'n': 30, 'trace_an': 0}
-
id: 69262429
{'hecke_orbit_code': 148618787736784112, 'n': 31, 'trace_an': -12}
-
id: 69262430
{'hecke_orbit_code': 148618787736784112, 'n': 32, 'trace_an': 0}
-
id: 69262431
{'hecke_orbit_code': 148618787736784112, 'n': 33, 'trace_an': 0}
-
id: 69262432
{'hecke_orbit_code': 148618787736784112, 'n': 34, 'trace_an': 0}
-
id: 69262433
{'hecke_orbit_code': 148618787736784112, 'n': 35, 'trace_an': 12}
-
id: 69262434
{'hecke_orbit_code': 148618787736784112, 'n': 36, 'trace_an': 0}
-
id: 69262435
{'hecke_orbit_code': 148618787736784112, 'n': 37, 'trace_an': 14}
-
id: 69262436
{'hecke_orbit_code': 148618787736784112, 'n': 38, 'trace_an': 0}
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id: 69262437
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id: 69262635
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id: 69262638
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id: 69262640
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id: 69262641
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id: 69262642
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id: 69262643
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id: 69262644
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id: 69262645
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id: 69262646
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id: 69262647
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id: 69262648
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id: 69262649
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id: 69262650
{'hecke_orbit_code': 148618787736784112, 'n': 961, 'trace_an': -36}
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id: 69262651
{'hecke_orbit_code': 148618787736784112, 'n': 967, 'trace_an': -20}
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id: 69262652
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id: 69262653
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id: 69262654
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id: 69262655
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id: 69262656
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